Search Results - "Johansson, Kurt"
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The two-time distribution in geometric last-passage percolation
Published in Probability theory and related fields (01-12-2019)“…We study the two-time distribution in directed last passage percolation with geometric weights in the first quadrant. We compute the scaling limit and show…”
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Two Time Distribution in Brownian Directed Percolation
Published in Communications in mathematical physics (01-04-2017)“…In the zero temperature Brownian semi-discrete directed polymer we study the joint distribution of two last-passage times at positions ordered in the time-like…”
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Multitime Distribution in Discrete Polynuclear Growth
Published in Communications on pure and applied mathematics (01-12-2021)“…We study the multitime distribution in a discrete polynuclear growth model or, equivalently, in directed last‐passage percolation with geometric weights. A…”
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Discrete polynuclear growth and determinantal processes
Published in Communications in mathematical physics (01-11-2003)Get full text
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Universality of the Local Spacing Distribution¶in Certain Ensembles of Hermitian Wigner Matrices
Published in Communications in mathematical physics (01-01-2001)Get full text
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The Arctic Circle Boundary and the Airy Process
Published in The Annals of probability (01-01-2005)“…We prove that the, appropriately rescaled, boundary of the north polar region in the Aztec diamond converges to the Airy process. The proof uses certain…”
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Non-intersecting paths, random tilings and random matrices
Published in Probability theory and related fields (01-06-2002)“…We investigate certain measures induced by families of non-intersecting paths in domino tilings of the Aztec diamond, rhombus tilings of an abc-hexagon, a…”
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On the Distribution of the Length of the Longest Increasing Subsequence of Random Permutations
Published in Journal of the American Mathematical Society (01-10-1999)Get full text
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Powers of large random unitary matrices and Toeplitz determinants
Published in Transactions of the American Mathematical Society (01-03-2010)“…We study the limiting behavior of \operatorname {Tr}U^{k(n)}, where U is an n\times n random unitary matrix and k(n) is a natural number that may vary with n…”
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Non-intersecting, simple, symmetric random walks and the extended hahn kernel
Published in Annales de l'Institut Fourier (2005)Get full text
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Dimer–Dimer Correlations at the Rough–Smooth Boundary
Published in Communications in mathematical physics (01-06-2023)“…Three phases of macroscopic domains have been seen for large but finite periodic dimer models; these are known as the frozen, rough and smooth phases. The…”
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Non-colliding Brownian Motions and the Extended Tacnode Process
Published in Communications in mathematical physics (01-04-2013)“…We consider non-colliding Brownian motions with two starting points and two endpoints. The points are chosen so that the two groups of Brownian motions just…”
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Domino statistics of the two-periodic Aztec diamond
Published in Advances in mathematics (New York. 1965) (14-05-2016)“…Random domino tilings of the Aztec diamond shape exhibit interesting features and some of the statistical properties seen in random matrix theory. As a…”
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Lived experience of driving ability following stroke
Published in Disability and rehabilitation (01-01-2009)“…Purpose. This study describes and expands our understanding of the lived-experience of driving ability after stroke in the context of being under a driving…”
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The Nordic Stroke Driver Screening Assessment as predictor for the outcome of an on-road test
Published in Scandinavian journal of occupational therapy (2010)“…The use of the cognitive test battery Nordic Stroke Driver Screening Assessment (NorSDSA) has increased, sometimes as a stand-alone test to evaluate fitness to…”
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Long and Short Time Asymptotics of the Two-Time Distribution in Local Random Growth
Published in Mathematical physics, analysis, and geometry (2020)“…The two-time distribution gives the limiting joint distribution of the heights at two different times of a local 1D random growth model in the curved geometry…”
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GAUSSIAN AND NON-GAUSSIAN FLUCTUATIONS FOR MESOSCOPIC LINEAR STATISTICS IN DETERMINANTAL PROCESSES
Published in The Annals of probability (01-05-2018)“…We study mesoscopic linear statistics for a class of determinantal point processes which interpolate between Poisson and random matrix statistics. These…”
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Shape Fluctuations and Random Matrices
Published in Communications in mathematical physics (01-02-2000)Get full text
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Local geometry of the rough-smooth interface in the two-periodic Aztec diamond
Published in The Annals of applied probability (01-04-2022)“…Random tilings of the two-periodic Aztec diamond contain three macroscopic regions: frozen, where the tilings are deterministic; rough, where the correlations…”
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GOE fluctuations for the maximum of the top path in alternating sign matrices
Published in Duke mathematical journal (15-07-2023)“…The six-vertex model is an important toy-model in statistical mechanics for twodimensional ice with a natural parameter A. When A = 0, the so-called…”
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